Suppose we want to test if a random sample xi, (I = 1, 2, ., n) has been drawn from a normal population with a specified variance σ2 = σ 02,

Under the null hypothesis that the population variance is σ2 = σ 02, the statistic

Follows chi-square distribution with (n-1) degrees of freedom.

By comparing the calculated value with the tabulated value of x^{2}for (n-1) degrees of freedom at certain level of significance, we may retain or reject the null hypothesis.

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- Exact Sampling distributions
- Derivation Of The Chi Square Distribution
- Moment Generating Function Of x
^{2}Distribution - Cumulant Generating Function Of x
^{2}Distribution - Limiting form of x
^{2}distribution for large degrees of freedom - Characteristic function of x
^{2}distribution: - Chi Square Probability Curve
- Conditions For The Validity Of Chi Square Test

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